On Woronowicz's approach to the Tomita-Takesaki theory

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The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970-1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz "Operator systems and their application to the Tomita-Takesaki theory" that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but fairly detailed version of his approach.

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@article{LászlóZsidó2012, abstract = {The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970-1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz "Operator systems and their application to the Tomita-Takesaki theory" that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but fairly detailed version of his approach.}, author = {László Zsidó}, journal = {Banach Center Publications}, keywords = {positive self-adjoint operator; analytic extension; polar decomposition; von Neumann algebra; Tomita-Takesaki theory}, language = {eng}, number = {1}, pages = {455-486}, title = {On Woronowicz's approach to the Tomita-Takesaki theory}, url = {http://eudml.org/doc/282221}, volume = {98}, year = {2012},}

TY - JOURAU - László ZsidóTI - On Woronowicz's approach to the Tomita-Takesaki theoryJO - Banach Center PublicationsPY - 2012VL - 98IS - 1SP - 455EP - 486AB - The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970-1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz "Operator systems and their application to the Tomita-Takesaki theory" that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but fairly detailed version of his approach.LA - engKW - positive self-adjoint operator; analytic extension; polar decomposition; von Neumann algebra; Tomita-Takesaki theoryUR - http://eudml.org/doc/282221ER -